1477257540 has 144 divisors (see below), whose sum is σ = 4615912896. Its totient is φ = 352661760.

The previous prime is 1477257533. The next prime is 1477257541. The reversal of 1477257540 is 457527741.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1477257492 and 1477257501.

It is not an unprimeable number, because it can be changed into a prime (1477257541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484902 + ... + 487938.

Almost surely, 2^1477257540 is an apocalyptic number.

1477257540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1477257540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307956448).

1477257540 is an abundant number, since it is smaller than the sum of its proper divisors (3138655356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1477257540 is a wasteful number, since it uses less digits than its factorization.

1477257540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 42.

The square root of 1477257540 is about 38435.1081694848. The cubic root of 1477257540 is about 1138.8995073935.

The spelling of 1477257540 in words is "one billion, four hundred seventy-seven million, two hundred fifty-seven thousand, five hundred forty".